On a Theorem of Deshouillers and Freiman

الأصل · EN

The study of `structure' on subsets of abelian groups, with small `doubling constant', has been well studied in the last fifty years, from the time Freiman initiated the subject. In DF Deshouillers and Freiman establish a structure theorem for subsets of with small doubling constant. In the current article we provide an alternate proof of one of the main theorem of DF. Also our proof leads to slight improvement of the theorems in DF.